Bullock is a former resident of Austin, where she reportedly still owns a home. She also maintains a residence in New Orleans.

Elizabeth Penniman, vice president of communications for the Red Cross, said in a statement to CNN that the organization is "thankful for the overwhelming and generous response from those who want to help those affected by this devastating storm."

"Massive disasters like Hurricane Harvey create many critical and immediate needs, so we are heartened by donations like this -- which allow us to provide immediate shelter, food and comfort to thousands in need," she said. "The entertainment community has been so supportive to the Red Cross in response to this devastating disaster, and we are so grateful."

Several celebrities have stepped up to offer relief support, including Kevin Hart, Kim Kardashian and Houston native Beyoncé.

She donated $1 million to the Red Cross after the September 11 attacks. She gave the same amount to the organization in 2004 after a tsunami in Indonesia and again in 2005, following Hurricane Katrina in New Orleans.